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Finding the Third Proportional to 23,966,646 and 52,417,164

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Solution

The third proportional to 23,966,646 and 52,417,164 is: 114,640,950.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,966,646 : 52,417,164 = 52,417,164 : x
  2. Step 2: Convert to fraction form
    23,966,646/52,417,164 = 52,417,164/x
  3. Step 3: Cross multiply
    23,966,646x = 52,417,164 × 52,417,164
  4. Step 4: Simplify right side
    23,966,646x = 2,747,559,081,802,896
  5. Step 5: Solve for x
    x = 2,747,559,081,802,896/23,966,646
  6. Step 6: Final answer
    x = 114,640,950.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.